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Simplifying (5x + -1)(3 + -4x) = 0 Reorder the terms: (-1 + 5x)(3 + -4x) = 0 Multiply (-1 + 5x) * (3 + -4x) (-1(3 + -4x) + 5x * (3 + -4x)) = 0 ((3 * -1 + -4x * -1) + 5x * (3 + -4x)) = 0 ((-3 + 4x) + 5x * (3 + -4x)) = 0 (-3 + 4x + (3 * 5x + -4x * 5x)) = 0 (-3 + 4x + (15x + -20x2)) = 0 Combine like terms: 4x + 15x = 19x (-3 + 19x + -20x2) = 0 Solving -3 + 19x + -20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + 4x)(1 + -5x) = 0Subproblem 1
Set the factor '(-3 + 4x)' equal to zero and attempt to solve: Simplifying -3 + 4x = 0 Solving -3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 0 + 3 4x = 0 + 3 Combine like terms: 0 + 3 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {0.75, 0.2}
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